# The weekly demand function for x units of a product sold by only one fir, is p=300-1/2x, and the average cost of production and sale is bar c= 100+2x dollars. find the x value wich maximizes profit; also find the price which maximises that profit.

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The weekly demand function for x units of a product sold by only one fir, is p=300-1/2x, and the average cost of production and sale is bar c= 100+2x dollars. find the x value wich maximizes profit; also find the price which maximises that profit.

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Step 1

Given:

Step 2

Calculation: help_outlineImage TranscriptioncloseTotal profit production P(x) R(x)-C(x)..(1), Where, R(x) Total revenue function C (x)= Total cost function fullscreen
Step 3 help_outlineImage TranscriptioncloseLet us take c' 100+2x Total cost function can be written as, C(x)c'x =(100+2x)x = 100x2x2 fullscreen

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